This file expands b264901 with 3 parts separated with "==>" sign. These parts have Beal's type of equation, i.e., C^z = A^x + B^y in the following 3 forms: 1. In numbers. 2. In powers (for those who are curious if there is a counterexample to FLT). 3. In factors (for those who are curious if there is a counterexample to Beal's conjecture). 1 16 = 8 + 8 ==> 2^4 = 2^3 + 2^3 ==> 2^4 = 2^3 + 2^3 2 32 = 16 + 16 ==> 2^5 = 2^4 + 2^4 ==> 2^5 = 2^4 + 2^4 3 64 = 32 + 32 ==> 4^3 = 2^5 + 2^5 ==> 2^6 = 2^5 + 2^5 4 64 = 32 + 32 ==> 2^6 = 2^5 + 2^5 ==> 2^6 = 2^5 + 2^5 5 128 = 64 + 64 ==> 2^7 = 4^3 + 4^3 ==> 2^7 = 2^6 + 2^6 6 128 = 64 + 64 ==> 2^7 = 4^3 + 2^6 ==> 2^7 = 2^6 + 2^6 7 128 = 64 + 64 ==> 2^7 = 2^6 + 2^6 ==> 2^7 = 2^6 + 2^6 8 243 = 27 + 216 ==> 3^5 = 3^3 + 6^3 ==> 3^5 = 3^3 + 2^3*3^3 9 256 = 128 + 128 ==> 4^4 = 2^7 + 2^7 ==> 2^8 = 2^7 + 2^7 10 256 = 128 + 128 ==> 2^8 = 2^7 + 2^7 ==> 2^8 = 2^7 + 2^7 11 512 = 256 + 256 ==> 8^3 = 4^4 + 4^4 ==> 2^9 = 2^8 + 2^8 12 512 = 256 + 256 ==> 2^9 = 4^4 + 4^4 ==> 2^9 = 2^8 + 2^8 13 512 = 256 + 256 ==> 8^3 = 4^4 + 2^8 ==> 2^9 = 2^8 + 2^8 14 512 = 256 + 256 ==> 2^9 = 4^4 + 2^8 ==> 2^9 = 2^8 + 2^8 15 512 = 256 + 256 ==> 8^3 = 2^8 + 2^8 ==> 2^9 = 2^8 + 2^8 16 512 = 256 + 256 ==> 2^9 = 2^8 + 2^8 ==> 2^9 = 2^8 + 2^8 17 1024 = 512 + 512 ==> 4^5 = 8^3 + 8^3 ==> 2^10 = 2^9 + 2^9 18 1024 = 512 + 512 ==> 2^10 = 8^3 + 8^3 ==> 2^10 = 2^9 + 2^9 19 1024 = 512 + 512 ==> 4^5 = 8^3 + 2^9 ==> 2^10 = 2^9 + 2^9 20 1024 = 512 + 512 ==> 2^10 = 8^3 + 2^9 ==> 2^10 = 2^9 + 2^9 21 1024 = 512 + 512 ==> 4^5 = 2^9 + 2^9 ==> 2^10 = 2^9 + 2^9 22 1024 = 512 + 512 ==> 2^10 = 2^9 + 2^9 ==> 2^10 = 2^9 + 2^9 23 2048 = 1024 + 1024 ==> 2^11 = 4^5 + 4^5 ==> 2^11 = 2^10 + 2^10 24 2048 = 1024 + 1024 ==> 2^11 = 4^5 + 2^10 ==> 2^11 = 2^10 + 2^10 25 2048 = 1024 + 1024 ==> 2^11 = 2^10 + 2^10 ==> 2^11 = 2^10 + 2^10 26 2744 = 343 + 2401 ==> 14^3 = 7^3 + 7^4 ==> 2^3*7^3 = 7^3 + 7^4 27 4096 = 2048 + 2048 ==> 16^3 = 2^11 + 2^11 ==> 2^12 = 2^11 + 2^11 28 4096 = 2048 + 2048 ==> 8^4 = 2^11 + 2^11 ==> 2^12 = 2^11 + 2^11 29 4096 = 2048 + 2048 ==> 4^6 = 2^11 + 2^11 ==> 2^12 = 2^11 + 2^11 30 4096 = 2048 + 2048 ==> 2^12 = 2^11 + 2^11 ==> 2^12 = 2^11 + 2^11 31 6561 = 729 + 5832 ==> 9^4 = 9^3 + 18^3 ==> 3^8 = 3^6 + 2^3*3^6 32 6561 = 729 + 5832 ==> 3^8 = 9^3 + 18^3 ==> 3^8 = 3^6 + 2^3*3^6 33 6561 = 5832 + 729 ==> 9^4 = 18^3 + 3^6 ==> 3^8 = 2^3*3^6 + 3^6 34 6561 = 5832 + 729 ==> 3^8 = 18^3 + 3^6 ==> 3^8 = 2^3*3^6 + 3^6 35 8192 = 4096 + 4096 ==> 2^13 = 16^3 + 16^3 ==> 2^13 = 2^12 + 2^12 36 8192 = 4096 + 4096 ==> 2^13 = 16^3 + 8^4 ==> 2^13 = 2^12 + 2^12 37 8192 = 4096 + 4096 ==> 2^13 = 16^3 + 4^6 ==> 2^13 = 2^12 + 2^12 38 8192 = 4096 + 4096 ==> 2^13 = 16^3 + 2^12 ==> 2^13 = 2^12 + 2^12 39 8192 = 4096 + 4096 ==> 2^13 = 8^4 + 8^4 ==> 2^13 = 2^12 + 2^12 40 8192 = 4096 + 4096 ==> 2^13 = 8^4 + 4^6 ==> 2^13 = 2^12 + 2^12 41 8192 = 4096 + 4096 ==> 2^13 = 8^4 + 2^12 ==> 2^13 = 2^12 + 2^12 42 8192 = 4096 + 4096 ==> 2^13 = 4^6 + 4^6 ==> 2^13 = 2^12 + 2^12 43 8192 = 4096 + 4096 ==> 2^13 = 4^6 + 2^12 ==> 2^13 = 2^12 + 2^12 44 8192 = 4096 + 4096 ==> 2^13 = 2^12 + 2^12 ==> 2^13 = 2^12 + 2^12 45 16384 = 8192 + 8192 ==> 4^7 = 2^13 + 2^13 ==> 2^14 = 2^13 + 2^13 46 16384 = 8192 + 8192 ==> 2^14 = 2^13 + 2^13 ==> 2^14 = 2^13 + 2^13 47 32768 = 16384 + 16384 ==> 32^3 = 4^7 + 4^7 ==> 2^15 = 2^14 + 2^14 48 32768 = 16384 + 16384 ==> 8^5 = 4^7 + 4^7 ==> 2^15 = 2^14 + 2^14 49 32768 = 16384 + 16384 ==> 2^15 = 4^7 + 4^7 ==> 2^15 = 2^14 + 2^14 50 32768 = 16384 + 16384 ==> 32^3 = 4^7 + 2^14 ==> 2^15 = 2^14 + 2^14 51 32768 = 16384 + 16384 ==> 8^5 = 4^7 + 2^14 ==> 2^15 = 2^14 + 2^14 52 32768 = 16384 + 16384 ==> 2^15 = 4^7 + 2^14 ==> 2^15 = 2^14 + 2^14 53 32768 = 16384 + 16384 ==> 32^3 = 2^14 + 2^14 ==> 2^15 = 2^14 + 2^14 54 32768 = 16384 + 16384 ==> 8^5 = 2^14 + 2^14 ==> 2^15 = 2^14 + 2^14 55 32768 = 16384 + 16384 ==> 2^15 = 2^14 + 2^14 ==> 2^15 = 2^14 + 2^14 56 65536 = 32768 + 32768 ==> 16^4 = 32^3 + 32^3 ==> 2^16 = 2^15 + 2^15 57 65536 = 32768 + 32768 ==> 4^8 = 32^3 + 32^3 ==> 2^16 = 2^15 + 2^15 58 65536 = 32768 + 32768 ==> 2^16 = 32^3 + 32^3 ==> 2^16 = 2^15 + 2^15 59 65536 = 32768 + 32768 ==> 16^4 = 32^3 + 8^5 ==> 2^16 = 2^15 + 2^15 60 65536 = 32768 + 32768 ==> 4^8 = 32^3 + 8^5 ==> 2^16 = 2^15 + 2^15 61 65536 = 32768 + 32768 ==> 2^16 = 32^3 + 8^5 ==> 2^16 = 2^15 + 2^15 62 65536 = 32768 + 32768 ==> 16^4 = 32^3 + 2^15 ==> 2^16 = 2^15 + 2^15 63 65536 = 32768 + 32768 ==> 4^8 = 32^3 + 2^15 ==> 2^16 = 2^15 + 2^15 64 65536 = 32768 + 32768 ==> 2^16 = 32^3 + 2^15 ==> 2^16 = 2^15 + 2^15 65 65536 = 32768 + 32768 ==> 16^4 = 8^5 + 8^5 ==> 2^16 = 2^15 + 2^15 66 65536 = 32768 + 32768 ==> 4^8 = 8^5 + 8^5 ==> 2^16 = 2^15 + 2^15 67 65536 = 32768 + 32768 ==> 2^16 = 8^5 + 8^5 ==> 2^16 = 2^15 + 2^15 68 65536 = 32768 + 32768 ==> 16^4 = 8^5 + 2^15 ==> 2^16 = 2^15 + 2^15 69 65536 = 32768 + 32768 ==> 4^8 = 8^5 + 2^15 ==> 2^16 = 2^15 + 2^15 70 65536 = 32768 + 32768 ==> 2^16 = 8^5 + 2^15 ==> 2^16 = 2^15 + 2^15 71 65536 = 32768 + 32768 ==> 16^4 = 2^15 + 2^15 ==> 2^16 = 2^15 + 2^15 72 65536 = 32768 + 32768 ==> 4^8 = 2^15 + 2^15 ==> 2^16 = 2^15 + 2^15 73 65536 = 32768 + 32768 ==> 2^16 = 2^15 + 2^15 ==> 2^16 = 2^15 + 2^15 74 131072 = 65536 + 65536 ==> 2^17 = 16^4 + 16^4 ==> 2^17 = 2^16 + 2^16 75 131072 = 65536 + 65536 ==> 2^17 = 16^4 + 4^8 ==> 2^17 = 2^16 + 2^16 76 131072 = 65536 + 65536 ==> 2^17 = 16^4 + 2^16 ==> 2^17 = 2^16 + 2^16 77 131072 = 65536 + 65536 ==> 2^17 = 4^8 + 4^8 ==> 2^17 = 2^16 + 2^16 78 131072 = 65536 + 65536 ==> 2^17 = 4^8 + 2^16 ==> 2^17 = 2^16 + 2^16 79 131072 = 65536 + 65536 ==> 2^17 = 2^16 + 2^16 ==> 2^17 = 2^16 + 2^16 80 177147 = 19683 + 157464 ==> 3^11 = 27^3 + 54^3 ==> 3^11 = 3^9 + 2^3*3^9 81 177147 = 157464 + 19683 ==> 3^11 = 54^3 + 3^9 ==> 3^11 = 2^3*3^9 + 3^9 82 185193 = 54872 + 130321 ==> 57^3 = 38^3 + 19^4 ==> 3^3*19^3 = 2^3*19^3 + 19^4 83 262144 = 131072 + 131072 ==> 64^3 = 2^17 + 2^17 ==> 2^18 = 2^17 + 2^17 84 262144 = 131072 + 131072 ==> 8^6 = 2^17 + 2^17 ==> 2^18 = 2^17 + 2^17 85 262144 = 131072 + 131072 ==> 4^9 = 2^17 + 2^17 ==> 2^18 = 2^17 + 2^17 86 262144 = 131072 + 131072 ==> 2^18 = 2^17 + 2^17 ==> 2^18 = 2^17 + 2^17 87 474552 = 17576 + 456976 ==> 78^3 = 26^3 + 26^4 ==> 2^3*3^3*13^3 = 2^3*13^3 + 2^4*13^4 88 524288 = 262144 + 262144 ==> 2^19 = 64^3 + 64^3 ==> 2^19 = 2^18 + 2^18 89 524288 = 262144 + 262144 ==> 2^19 = 64^3 + 8^6 ==> 2^19 = 2^18 + 2^18 90 524288 = 262144 + 262144 ==> 2^19 = 64^3 + 4^9 ==> 2^19 = 2^18 + 2^18 91 524288 = 262144 + 262144 ==> 2^19 = 64^3 + 2^18 ==> 2^19 = 2^18 + 2^18 92 524288 = 262144 + 262144 ==> 2^19 = 8^6 + 8^6 ==> 2^19 = 2^18 + 2^18 93 524288 = 262144 + 262144 ==> 2^19 = 8^6 + 4^9 ==> 2^19 = 2^18 + 2^18 94 524288 = 262144 + 262144 ==> 2^19 = 8^6 + 2^18 ==> 2^19 = 2^18 + 2^18 95 524288 = 262144 + 262144 ==> 2^19 = 4^9 + 4^9 ==> 2^19 = 2^18 + 2^18 96 524288 = 262144 + 262144 ==> 2^19 = 4^9 + 2^18 ==> 2^19 = 2^18 + 2^18 97 524288 = 262144 + 262144 ==> 2^19 = 2^18 + 2^18 ==> 2^19 = 2^18 + 2^18 98 614656 = 21952 + 592704 ==> 28^4 = 28^3 + 84^3 ==> 2^8*7^4 = 2^6*7^3 + 2^6*3^3*7^3 99 810000 = 50625 + 759375 ==> 30^4 = 15^4 + 15^5 ==> 2^4*3^4*5^4 = 3^4*5^4 + 3^5*5^5 100 941192 = 117649 + 823543 ==> 98^3 = 49^3 + 7^7 ==> 2^3*7^6 = 13*149*577 + 7^7 101 941192 = 117649 + 823543 ==> 98^3 = 7^6 + 7^7 ==> 2^3*7^6 = 13*149*577 + 7^7 102 1048576 = 524288 + 524288 ==> 32^4 = 2^19 + 2^19 ==> 2^20 = 2^19 + 2^19 103 1048576 = 524288 + 524288 ==> 16^5 = 2^19 + 2^19 ==> 2^20 = 2^19 + 2^19 104 1048576 = 524288 + 524288 ==> 4^10 = 2^19 + 2^19 ==> 2^20 = 2^19 + 2^19 105 1048576 = 524288 + 524288 ==> 2^20 = 2^19 + 2^19 ==> 2^20 = 2^19 + 2^19 106 1124864 = 753571 + 371293 ==> 104^3 = 91^3 + 13^5 ==> 2^9*13^3 = 7^3*13^3 + 13^5 107 1419857 = 83521 + 1336336 ==> 17^5 = 17^4 + 34^4 ==> 17^5 = 17^4 + 2^4*17^4 108 1500625 = 343000 + 1157625 ==> 35^4 = 70^3 + 105^3 ==> 5^4*7^4 = 2^3*5^3*7^3 + 3^3*5^3*7^3 109 2097152 = 1048576 + 1048576 ==> 128^3 = 32^4 + 32^4 ==> 2^21 = 2^20 + 2^20 110 2097152 = 1048576 + 1048576 ==> 8^7 = 32^4 + 32^4 ==> 2^21 = 2^20 + 2^20 111 2097152 = 1048576 + 1048576 ==> 2^21 = 32^4 + 32^4 ==> 2^21 = 2^20 + 2^20 112 2097152 = 1048576 + 1048576 ==> 128^3 = 32^4 + 16^5 ==> 2^21 = 2^20 + 2^20 113 2097152 = 1048576 + 1048576 ==> 8^7 = 32^4 + 16^5 ==> 2^21 = 2^20 + 2^20 114 2097152 = 1048576 + 1048576 ==> 2^21 = 32^4 + 16^5 ==> 2^21 = 2^20 + 2^20 115 2097152 = 1048576 + 1048576 ==> 128^3 = 32^4 + 4^10 ==> 2^21 = 2^20 + 2^20 116 2097152 = 1048576 + 1048576 ==> 8^7 = 32^4 + 4^10 ==> 2^21 = 2^20 + 2^20 117 2097152 = 1048576 + 1048576 ==> 2^21 = 32^4 + 4^10 ==> 2^21 = 2^20 + 2^20 118 2097152 = 1048576 + 1048576 ==> 128^3 = 32^4 + 2^20 ==> 2^21 = 2^20 + 2^20 119 2097152 = 1048576 + 1048576 ==> 8^7 = 32^4 + 2^20 ==> 2^21 = 2^20 + 2^20 120 2097152 = 1048576 + 1048576 ==> 2^21 = 32^4 + 2^20 ==> 2^21 = 2^20 + 2^20 121 2097152 = 1048576 + 1048576 ==> 128^3 = 16^5 + 16^5 ==> 2^21 = 2^20 + 2^20 122 2097152 = 1048576 + 1048576 ==> 8^7 = 16^5 + 16^5 ==> 2^21 = 2^20 + 2^20 123 2097152 = 1048576 + 1048576 ==> 2^21 = 16^5 + 16^5 ==> 2^21 = 2^20 + 2^20 124 2097152 = 1048576 + 1048576 ==> 128^3 = 16^5 + 4^10 ==> 2^21 = 2^20 + 2^20 125 2097152 = 1048576 + 1048576 ==> 8^7 = 16^5 + 4^10 ==> 2^21 = 2^20 + 2^20 126 2097152 = 1048576 + 1048576 ==> 2^21 = 16^5 + 4^10 ==> 2^21 = 2^20 + 2^20 127 2097152 = 1048576 + 1048576 ==> 128^3 = 16^5 + 2^20 ==> 2^21 = 2^20 + 2^20 128 2097152 = 1048576 + 1048576 ==> 8^7 = 16^5 + 2^20 ==> 2^21 = 2^20 + 2^20 129 2097152 = 1048576 + 1048576 ==> 2^21 = 16^5 + 2^20 ==> 2^21 = 2^20 + 2^20 130 2097152 = 1048576 + 1048576 ==> 128^3 = 4^10 + 4^10 ==> 2^21 = 2^20 + 2^20 131 2097152 = 1048576 + 1048576 ==> 8^7 = 4^10 + 4^10 ==> 2^21 = 2^20 + 2^20 132 2097152 = 1048576 + 1048576 ==> 2^21 = 4^10 + 4^10 ==> 2^21 = 2^20 + 2^20 133 2097152 = 1048576 + 1048576 ==> 128^3 = 4^10 + 2^20 ==> 2^21 = 2^20 + 2^20 134 2097152 = 1048576 + 1048576 ==> 8^7 = 4^10 + 2^20 ==> 2^21 = 2^20 + 2^20 135 2097152 = 1048576 + 1048576 ==> 2^21 = 4^10 + 2^20 ==> 2^21 = 2^20 + 2^20 136 2097152 = 1048576 + 1048576 ==> 128^3 = 2^20 + 2^20 ==> 2^21 = 2^20 + 2^20 137 2097152 = 1048576 + 1048576 ==> 8^7 = 2^20 + 2^20 ==> 2^21 = 2^20 + 2^20 138 2097152 = 1048576 + 1048576 ==> 2^21 = 2^20 + 2^20 ==> 2^21 = 2^20 + 2^20 139 3241792 = 1367631 + 1874161 ==> 148^3 = 111^3 + 37^4 ==> 2^6*37^3 = 3^3*37^3 + 37^4 140 4194304 = 2097152 + 2097152 ==> 4^11 = 128^3 + 128^3 ==> 2^22 = 2^21 + 2^21 141 4194304 = 2097152 + 2097152 ==> 2^22 = 128^3 + 128^3 ==> 2^22 = 2^21 + 2^21 142 4194304 = 2097152 + 2097152 ==> 4^11 = 128^3 + 8^7 ==> 2^22 = 2^21 + 2^21 143 4194304 = 2097152 + 2097152 ==> 2^22 = 128^3 + 8^7 ==> 2^22 = 2^21 + 2^21 144 4194304 = 2097152 + 2097152 ==> 4^11 = 128^3 + 2^21 ==> 2^22 = 2^21 + 2^21 145 4194304 = 2097152 + 2097152 ==> 2^22 = 128^3 + 2^21 ==> 2^22 = 2^21 + 2^21 146 4194304 = 2097152 + 2097152 ==> 4^11 = 8^7 + 8^7 ==> 2^22 = 2^21 + 2^21 147 4194304 = 2097152 + 2097152 ==> 2^22 = 8^7 + 8^7 ==> 2^22 = 2^21 + 2^21 148 4194304 = 2097152 + 2097152 ==> 4^11 = 8^7 + 2^21 ==> 2^22 = 2^21 + 2^21 149 4194304 = 2097152 + 2097152 ==> 2^22 = 8^7 + 2^21 ==> 2^22 = 2^21 + 2^21 150 4194304 = 2097152 + 2097152 ==> 4^11 = 2^21 + 2^21 ==> 2^22 = 2^21 + 2^21 151 4194304 = 2097152 + 2097152 ==> 2^22 = 2^21 + 2^21 ==> 2^22 = 2^21 + 2^21 152 4782969 = 531441 + 4251528 ==> 9^7 = 81^3 + 162^3 ==> 3^14 = 3^12 + 2^3*3^12 153 4782969 = 531441 + 4251528 ==> 3^14 = 81^3 + 162^3 ==> 3^14 = 3^12 + 2^3*3^12 154 4782969 = 4251528 + 531441 ==> 9^7 = 162^3 + 27^4 ==> 3^14 = 2^3*3^12 + 3^12 155 4782969 = 4251528 + 531441 ==> 3^14 = 162^3 + 27^4 ==> 3^14 = 2^3*3^12 + 3^12 156 4782969 = 4251528 + 531441 ==> 9^7 = 162^3 + 9^6 ==> 3^14 = 2^3*3^12 + 3^12 157 4782969 = 4251528 + 531441 ==> 3^14 = 162^3 + 9^6 ==> 3^14 = 2^3*3^12 + 3^12 158 4782969 = 4251528 + 531441 ==> 9^7 = 162^3 + 3^12 ==> 3^14 = 2^3*3^12 + 3^12 159 4782969 = 4251528 + 531441 ==> 3^14 = 162^3 + 3^12 ==> 3^14 = 2^3*3^12 + 3^12 160 7962624 = 884736 + 7077888 ==> 24^5 = 96^3 + 192^3 ==> 2^15*3^5 = 2^15*3^3 + 2^18*3^3 161 8388608 = 4194304 + 4194304 ==> 2^23 = 4^11 + 4^11 ==> 2^23 = 2^22 + 2^22 162 8388608 = 4194304 + 4194304 ==> 2^23 = 4^11 + 2^22 ==> 2^23 = 2^22 + 2^22 163 8388608 = 4194304 + 4194304 ==> 2^23 = 2^22 + 2^22 ==> 2^23 = 2^22 + 2^22 164 8503056 = 4251528 + 4251528 ==> 54^4 = 162^3 + 162^3 ==> 2^4*3^12 = 2^3*3^12 + 2^3*3^12 165 11239424 = 1404928 + 9834496 ==> 224^3 = 112^3 + 56^4 ==> 2^15*7^3 = 2^12*7^3 + 2^12*7^4 166 16003008 = 250047 + 15752961 ==> 252^3 = 63^3 + 63^4 ==> 2^6*3^6*7^3 = 3^6*7^3 + 3^8*7^4 167 16777216 = 8388608 + 8388608 ==> 256^3 = 2^23 + 2^23 ==> 2^24 = 2^23 + 2^23 168 16777216 = 8388608 + 8388608 ==> 64^4 = 2^23 + 2^23 ==> 2^24 = 2^23 + 2^23 169 16777216 = 8388608 + 8388608 ==> 16^6 = 2^23 + 2^23 ==> 2^24 = 2^23 + 2^23 170 16777216 = 8388608 + 8388608 ==> 8^8 = 2^23 + 2^23 ==> 2^24 = 2^23 + 2^23 171 16777216 = 8388608 + 8388608 ==> 4^12 = 2^23 + 2^23 ==> 2^24 = 2^23 + 2^23 172 16777216 = 8388608 + 8388608 ==> 2^24 = 2^23 + 2^23 ==> 2^24 = 2^23 + 2^23 173 17850625 = 274625 + 17576000 ==> 65^4 = 65^3 + 260^3 ==> 5^4*13^4 = 5^3*13^3 + 2^6*5^3*13^3 174 21952000 = 4741632 + 17210368 ==> 280^3 = 168^3 + 28^5 ==> 2^9*5^3*7^3 = 2^9*3^3*7^3 + 2^10*7^5 175 26873856 = 2985984 + 23887872 ==> 72^4 = 144^3 + 288^3 ==> 2^12*3^8 = 2^12*3^6 + 2^15*3^6 176 26873856 = 23887872 + 2985984 ==> 72^4 = 288^3 + 12^6 ==> 2^12*3^8 = 2^15*3^6 + 2^12*3^6 177 28372625 = 14526784 + 13845841 ==> 305^3 = 244^3 + 61^4 ==> 5^3*61^3 = 2^6*61^3 + 61^4 178 33554432 = 16777216 + 16777216 ==> 32^5 = 256^3 + 256^3 ==> 2^25 = 2^24 + 2^24 179 33554432 = 16777216 + 16777216 ==> 2^25 = 256^3 + 256^3 ==> 2^25 = 2^24 + 2^24 180 33554432 = 16777216 + 16777216 ==> 32^5 = 256^3 + 64^4 ==> 2^25 = 2^24 + 2^24 181 33554432 = 16777216 + 16777216 ==> 2^25 = 256^3 + 64^4 ==> 2^25 = 2^24 + 2^24 182 33554432 = 16777216 + 16777216 ==> 32^5 = 256^3 + 16^6 ==> 2^25 = 2^24 + 2^24 183 33554432 = 16777216 + 16777216 ==> 2^25 = 256^3 + 16^6 ==> 2^25 = 2^24 + 2^24 184 33554432 = 16777216 + 16777216 ==> 32^5 = 256^3 + 8^8 ==> 2^25 = 2^24 + 2^24 185 33554432 = 16777216 + 16777216 ==> 2^25 = 256^3 + 8^8 ==> 2^25 = 2^24 + 2^24 186 33554432 = 16777216 + 16777216 ==> 32^5 = 256^3 + 4^12 ==> 2^25 = 2^24 + 2^24 187 33554432 = 16777216 + 16777216 ==> 2^25 = 256^3 + 4^12 ==> 2^25 = 2^24 + 2^24 188 33554432 = 16777216 + 16777216 ==> 32^5 = 256^3 + 2^24 ==> 2^25 = 2^24 + 2^24 189 33554432 = 16777216 + 16777216 ==> 2^25 = 256^3 + 2^24 ==> 2^25 = 2^24 + 2^24 190 33554432 = 16777216 + 16777216 ==> 32^5 = 64^4 + 64^4 ==> 2^25 = 2^24 + 2^24 191 33554432 = 16777216 + 16777216 ==> 2^25 = 64^4 + 64^4 ==> 2^25 = 2^24 + 2^24 192 33554432 = 16777216 + 16777216 ==> 32^5 = 64^4 + 16^6 ==> 2^25 = 2^24 + 2^24 193 33554432 = 16777216 + 16777216 ==> 2^25 = 64^4 + 16^6 ==> 2^25 = 2^24 + 2^24 194 33554432 = 16777216 + 16777216 ==> 32^5 = 64^4 + 8^8 ==> 2^25 = 2^24 + 2^24 195 33554432 = 16777216 + 16777216 ==> 2^25 = 64^4 + 8^8 ==> 2^25 = 2^24 + 2^24 196 33554432 = 16777216 + 16777216 ==> 32^5 = 64^4 + 4^12 ==> 2^25 = 2^24 + 2^24 197 33554432 = 16777216 + 16777216 ==> 2^25 = 64^4 + 4^12 ==> 2^25 = 2^24 + 2^24 198 33554432 = 16777216 + 16777216 ==> 32^5 = 64^4 + 2^24 ==> 2^25 = 2^24 + 2^24 199 33554432 = 16777216 + 16777216 ==> 2^25 = 64^4 + 2^24 ==> 2^25 = 2^24 + 2^24 200 33554432 = 16777216 + 16777216 ==> 32^5 = 16^6 + 16^6 ==> 2^25 = 2^24 + 2^24 201 33554432 = 16777216 + 16777216 ==> 2^25 = 16^6 + 16^6 ==> 2^25 = 2^24 + 2^24 202 33554432 = 16777216 + 16777216 ==> 32^5 = 16^6 + 8^8 ==> 2^25 = 2^24 + 2^24 203 33554432 = 16777216 + 16777216 ==> 2^25 = 16^6 + 8^8 ==> 2^25 = 2^24 + 2^24 204 33554432 = 16777216 + 16777216 ==> 32^5 = 16^6 + 4^12 ==> 2^25 = 2^24 + 2^24 205 33554432 = 16777216 + 16777216 ==> 2^25 = 16^6 + 4^12 ==> 2^25 = 2^24 + 2^24 206 33554432 = 16777216 + 16777216 ==> 32^5 = 16^6 + 2^24 ==> 2^25 = 2^24 + 2^24 207 33554432 = 16777216 + 16777216 ==> 2^25 = 16^6 + 2^24 ==> 2^25 = 2^24 + 2^24 208 33554432 = 16777216 + 16777216 ==> 32^5 = 8^8 + 8^8 ==> 2^25 = 2^24 + 2^24 209 33554432 = 16777216 + 16777216 ==> 2^25 = 8^8 + 8^8 ==> 2^25 = 2^24 + 2^24 210 33554432 = 16777216 + 16777216 ==> 32^5 = 8^8 + 4^12 ==> 2^25 = 2^24 + 2^24 211 33554432 = 16777216 + 16777216 ==> 2^25 = 8^8 + 4^12 ==> 2^25 = 2^24 + 2^24 212 33554432 = 16777216 + 16777216 ==> 32^5 = 8^8 + 2^24 ==> 2^25 = 2^24 + 2^24 213 33554432 = 16777216 + 16777216 ==> 2^25 = 8^8 + 2^24 ==> 2^25 = 2^24 + 2^24 214 33554432 = 16777216 + 16777216 ==> 32^5 = 4^12 + 4^12 ==> 2^25 = 2^24 + 2^24 215 33554432 = 16777216 + 16777216 ==> 2^25 = 4^12 + 4^12 ==> 2^25 = 2^24 + 2^24 216 33554432 = 16777216 + 16777216 ==> 32^5 = 4^12 + 2^24 ==> 2^25 = 2^24 + 2^24 217 33554432 = 16777216 + 16777216 ==> 2^25 = 4^12 + 2^24 ==> 2^25 = 2^24 + 2^24 218 33554432 = 16777216 + 16777216 ==> 32^5 = 2^24 + 2^24 ==> 2^25 = 2^24 + 2^24 219 33554432 = 16777216 + 16777216 ==> 2^25 = 2^24 + 2^24 ==> 2^25 = 2^24 + 2^24 220 52200625 = 6765201 + 45435424 ==> 85^4 = 51^4 + 34^5 ==> 5^4*17^4 = 3^4*17^4 + 2^5*17^5 221 67108864 = 33554432 + 33554432 ==> 4^13 = 32^5 + 32^5 ==> 2^26 = 2^25 + 2^25 222 67108864 = 33554432 + 33554432 ==> 2^26 = 32^5 + 32^5 ==> 2^26 = 2^25 + 2^25 223 67108864 = 33554432 + 33554432 ==> 4^13 = 32^5 + 2^25 ==> 2^26 = 2^25 + 2^25 224 67108864 = 33554432 + 33554432 ==> 2^26 = 32^5 + 2^25 ==> 2^26 = 2^25 + 2^25 225 67108864 = 33554432 + 33554432 ==> 4^13 = 2^25 + 2^25 ==> 2^26 = 2^25 + 2^25 226 67108864 = 33554432 + 33554432 ==> 2^26 = 2^25 + 2^25 ==> 2^26 = 2^25 + 2^25 227 68574961 = 20346417 + 48228544 ==> 91^4 = 273^3 + 364^3 ==> 7^4*13^4 = 3^3*7^3*13^3 + 2^6*7^3*13^3 228 82312875 = 29791000 + 52521875 ==> 435^3 = 310^3 + 35^5 ==> 3^3*5^3*29^3 = 2^3*5^3*31^3 + 5^5*7^5 229 117649000 = 25412184 + 92236816 ==> 490^3 = 294^3 + 98^4 ==> 2^3*5^3*7^6 = 2^3*3^3*7^6 + 2^4*7^8 230 129140163 = 14348907 + 114791256 ==> 3^17 = 243^3 + 486^3 ==> 3^17 = 3^15 + 2^3*3^15 231 129140163 = 114791256 + 14348907 ==> 3^17 = 486^3 + 27^5 ==> 3^17 = 2^3*3^15 + 3^15 232 129140163 = 114791256 + 14348907 ==> 3^17 = 486^3 + 3^15 ==> 3^17 = 2^3*3^15 + 3^15 233 134217728 = 67108864 + 67108864 ==> 512^3 = 4^13 + 4^13 ==> 2^27 = 2^26 + 2^26 234 134217728 = 67108864 + 67108864 ==> 8^9 = 4^13 + 4^13 ==> 2^27 = 2^26 + 2^26 235 134217728 = 67108864 + 67108864 ==> 2^27 = 4^13 + 4^13 ==> 2^27 = 2^26 + 2^26 236 134217728 = 67108864 + 67108864 ==> 512^3 = 4^13 + 2^26 ==> 2^27 = 2^26 + 2^26 237 134217728 = 67108864 + 67108864 ==> 8^9 = 4^13 + 2^26 ==> 2^27 = 2^26 + 2^26 238 134217728 = 67108864 + 67108864 ==> 2^27 = 4^13 + 2^26 ==> 2^27 = 2^26 + 2^26 239 134217728 = 67108864 + 67108864 ==> 512^3 = 2^26 + 2^26 ==> 2^27 = 2^26 + 2^26 240 134217728 = 67108864 + 67108864 ==> 8^9 = 2^26 + 2^26 ==> 2^27 = 2^26 + 2^26 241 134217728 = 67108864 + 67108864 ==> 2^27 = 2^26 + 2^26 ==> 2^27 = 2^26 + 2^26 242 162771336 = 94196375 + 68574961 ==> 546^3 = 455^3 + 91^4 ==> 2^3*3^3*7^3*13^3 = 5^3*7^3*13^3 + 7^4*13^4 243 200201625 = 12812904 + 187388721 ==> 585^3 = 234^3 + 117^4 ==> 3^6*5^3*13^3 = 2^3*3^6*13^3 + 3^8*13^4 244 238328000 = 1906624 + 236421376 ==> 620^3 = 124^3 + 124^4 ==> 2^6*5^3*31^3 = 2^6*31^3 + 2^8*31^4 245 252047376 = 2000376 + 250047000 ==> 126^4 = 126^3 + 630^3 ==> 2^4*3^8*7^4 = 2^3*3^6*7^3 + 2^3*3^6*5^3*7^3 246 260917119 = 8869743 + 252047376 ==> 639^3 = 207^3 + 126^4 ==> 3^6*71^3 = 3^6*23^3 + 2^4*3^8*7^4 247 268435456 = 134217728 + 134217728 ==> 128^4 = 512^3 + 512^3 ==> 2^28 = 2^27 + 2^27 248 268435456 = 134217728 + 134217728 ==> 16^7 = 512^3 + 512^3 ==> 2^28 = 2^27 + 2^27 249 268435456 = 134217728 + 134217728 ==> 4^14 = 512^3 + 512^3 ==> 2^28 = 2^27 + 2^27 250 268435456 = 134217728 + 134217728 ==> 2^28 = 512^3 + 512^3 ==> 2^28 = 2^27 + 2^27 251 268435456 = 134217728 + 134217728 ==> 128^4 = 512^3 + 8^9 ==> 2^28 = 2^27 + 2^27 252 268435456 = 134217728 + 134217728 ==> 16^7 = 512^3 + 8^9 ==> 2^28 = 2^27 + 2^27 253 268435456 = 134217728 + 134217728 ==> 4^14 = 512^3 + 8^9 ==> 2^28 = 2^27 + 2^27 254 268435456 = 134217728 + 134217728 ==> 2^28 = 512^3 + 8^9 ==> 2^28 = 2^27 + 2^27 255 268435456 = 134217728 + 134217728 ==> 128^4 = 512^3 + 2^27 ==> 2^28 = 2^27 + 2^27 256 268435456 = 134217728 + 134217728 ==> 16^7 = 512^3 + 2^27 ==> 2^28 = 2^27 + 2^27 257 268435456 = 134217728 + 134217728 ==> 4^14 = 512^3 + 2^27 ==> 2^28 = 2^27 + 2^27 258 268435456 = 134217728 + 134217728 ==> 2^28 = 512^3 + 2^27 ==> 2^28 = 2^27 + 2^27 259 268435456 = 134217728 + 134217728 ==> 128^4 = 8^9 + 8^9 ==> 2^28 = 2^27 + 2^27 260 268435456 = 134217728 + 134217728 ==> 16^7 = 8^9 + 8^9 ==> 2^28 = 2^27 + 2^27 261 268435456 = 134217728 + 134217728 ==> 4^14 = 8^9 + 8^9 ==> 2^28 = 2^27 + 2^27 262 268435456 = 134217728 + 134217728 ==> 2^28 = 8^9 + 8^9 ==> 2^28 = 2^27 + 2^27 263 268435456 = 134217728 + 134217728 ==> 128^4 = 8^9 + 2^27 ==> 2^28 = 2^27 + 2^27 264 268435456 = 134217728 + 134217728 ==> 16^7 = 8^9 + 2^27 ==> 2^28 = 2^27 + 2^27 265 268435456 = 134217728 + 134217728 ==> 4^14 = 8^9 + 2^27 ==> 2^28 = 2^27 + 2^27 266 268435456 = 134217728 + 134217728 ==> 2^28 = 8^9 + 2^27 ==> 2^28 = 2^27 + 2^27 267 268435456 = 134217728 + 134217728 ==> 128^4 = 2^27 + 2^27 ==> 2^28 = 2^27 + 2^27 268 268435456 = 134217728 + 134217728 ==> 16^7 = 2^27 + 2^27 ==> 2^28 = 2^27 + 2^27 269 268435456 = 134217728 + 134217728 ==> 4^14 = 2^27 + 2^27 ==> 2^28 = 2^27 + 2^27 270 268435456 = 134217728 + 134217728 ==> 2^28 = 2^27 + 2^27 ==> 2^28 = 2^27 + 2^27 271 272097792 = 136048896 + 136048896 ==> 648^3 = 108^4 + 108^4 ==> 2^9*3^12 = 2^8*3^12 + 2^8*3^12 272 312900721 = 18821096 + 294079625 ==> 133^4 = 266^3 + 665^3 ==> 7^4*19^4 = 2^3*7^3*19^3 + 5^3*7^3*19^3 273 322417936 = 103161709 + 219256227 ==> 134^4 = 469^3 + 603^3 ==> 2^4*67^4 = 7^3*67^3 + 3^6*67^3 274 322828856 = 40353607 + 282475249 ==> 686^3 = 343^3 + 49^5 ==> 2^3*7^9 = 7^9 + 7^10 275 322828856 = 40353607 + 282475249 ==> 686^3 = 343^3 + 7^10 ==> 2^3*7^9 = 7^9 + 7^10 276 322828856 = 282475249 + 40353607 ==> 686^3 = 49^5 + 7^9 ==> 2^3*7^9 = 7^10 + 7^9 277 322828856 = 40353607 + 282475249 ==> 686^3 = 7^9 + 7^10 ==> 2^3*7^9 = 7^9 + 7^10 278 533794816 = 94818816 + 438976000 ==> 152^4 = 456^3 + 760^3 ==> 2^12*19^4 = 2^9*3^3*19^3 + 2^9*5^3*19^3 279 536870912 = 268435456 + 268435456 ==> 2^29 = 128^4 + 128^4 ==> 2^29 = 2^28 + 2^28 280 536870912 = 268435456 + 268435456 ==> 2^29 = 128^4 + 16^7 ==> 2^29 = 2^28 + 2^28 281 536870912 = 268435456 + 268435456 ==> 2^29 = 128^4 + 4^14 ==> 2^29 = 2^28 + 2^28 282 536870912 = 268435456 + 268435456 ==> 2^29 = 128^4 + 2^28 ==> 2^29 = 2^28 + 2^28 283 536870912 = 268435456 + 268435456 ==> 2^29 = 16^7 + 16^7 ==> 2^29 = 2^28 + 2^28 284 536870912 = 268435456 + 268435456 ==> 2^29 = 16^7 + 4^14 ==> 2^29 = 2^28 + 2^28 285 536870912 = 268435456 + 268435456 ==> 2^29 = 16^7 + 2^28 ==> 2^29 = 2^28 + 2^28 286 536870912 = 268435456 + 268435456 ==> 2^29 = 4^14 + 4^14 ==> 2^29 = 2^28 + 2^28 287 536870912 = 268435456 + 268435456 ==> 2^29 = 4^14 + 2^28 ==> 2^29 = 2^28 + 2^28 288 536870912 = 268435456 + 268435456 ==> 2^29 = 2^28 + 2^28 ==> 2^29 = 2^28 + 2^28 289 702595369 = 442450728 + 260144641 ==> 889^3 = 762^3 + 127^4 ==> 7^3*127^3 = 2^3*3^3*127^3 + 127^4 290 721734273 = 49836032 + 671898241 ==> 897^3 = 368^3 + 161^4 ==> 3^3*13^3*23^3 = 2^12*23^3 + 7^4*23^4 291 758550528 = 224755712 + 533794816 ==> 912^3 = 608^3 + 152^4 ==> 2^12*3^3*19^3 = 2^15*19^3 + 2^12*19^4 292 916132832 = 887503681 + 28629151 ==> 62^5 = 961^3 + 31^5 ==> 2^5*31^5 = 31^6 + 31^5 293 916132832 = 28629151 + 887503681 ==> 62^5 = 31^5 + 31^6 ==> 2^5*31^5 = 31^5 + 31^6 294 918330048 = 459165024 + 459165024 ==> 972^3 = 54^5 + 54^5 ==> 2^6*3^15 = 2^5*3^15 + 2^5*3^15 295 1073741824 = 536870912 + 536870912 ==> 1024^3 = 2^29 + 2^29 ==> 2^30 = 2^29 + 2^29 296 1073741824 = 536870912 + 536870912 ==> 64^5 = 2^29 + 2^29 ==> 2^30 = 2^29 + 2^29 297 1073741824 = 536870912 + 536870912 ==> 32^6 = 2^29 + 2^29 ==> 2^30 = 2^29 + 2^29 298 1073741824 = 536870912 + 536870912 ==> 8^10 = 2^29 + 2^29 ==> 2^30 = 2^29 + 2^29 299 1073741824 = 536870912 + 536870912 ==> 4^15 = 2^29 + 2^29 ==> 2^30 = 2^29 + 2^29 300 1073741824 = 536870912 + 536870912 ==> 2^30 = 2^29 + 2^29 ==> 2^30 = 2^29 + 2^29 301 1097199376 = 94196375 + 1003003001 ==> 182^4 = 455^3 + 1001^3 ==> 2^4*7^4*13^4 = 5^3*7^3*13^3 + 7^3*11^3*13^3 302 1121513121 = 498677257 + 622835864 ==> 183^4 = 793^3 + 854^3 ==> 3^4*61^4 = 13^3*61^3 + 2^3*7^3*61^3 303 1270238787 = 376367048 + 893871739 ==> 1083^3 = 722^3 + 19^7 ==> 3^3*19^6 = 2^3*19^6 + 19^7 304 1275989841 = 432081216 + 843908625 ==> 189^4 = 756^3 + 945^3 ==> 3^12*7^4 = 2^6*3^9*7^3 + 3^9*5^3*7^3 305 1291467969 = 39135393 + 1252332576 ==> 1089^3 = 33^5 + 66^5 ==> 3^6*11^6 = 3^5*11^5 + 2^5*3^5*11^5 306 1291467969 = 39135393 + 1252332576 ==> 33^6 = 33^5 + 66^5 ==> 3^6*11^6 = 3^5*11^5 + 2^5*3^5*11^5 307 1445900625 = 285610000 + 1160290625 ==> 195^4 = 130^4 + 65^5 ==> 3^4*5^4*13^4 = 2^4*5^4*13^4 + 5^5*13^5 308 1458274104 = 182284263 + 1275989841 ==> 1134^3 = 567^3 + 189^4 ==> 2^3*3^12*7^3 = 3^12*7^3 + 3^12*7^4 309 1632240801 = 400315553 + 1231925248 ==> 201^4 = 737^3 + 1072^3 ==> 3^4*67^4 = 11^3*67^3 + 2^12*67^3 310 1943764992 = 71991296 + 1871773696 ==> 1248^3 = 416^3 + 208^4 ==> 2^15*3^3*13^3 = 2^15*13^3 + 2^16*13^4 311 2146689000 = 9938375 + 2136750625 ==> 1290^3 = 215^3 + 215^4 ==> 2^3*3^3*5^3*43^3 = 5^3*43^3 + 5^4*43^4 312 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 1024^3 + 1024^3 ==> 2^31 = 2^30 + 2^30 313 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 1024^3 + 64^5 ==> 2^31 = 2^30 + 2^30 314 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 1024^3 + 32^6 ==> 2^31 = 2^30 + 2^30 315 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 1024^3 + 8^10 ==> 2^31 = 2^30 + 2^30 316 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 1024^3 + 4^15 ==> 2^31 = 2^30 + 2^30 317 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 1024^3 + 2^30 ==> 2^31 = 2^30 + 2^30 318 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 64^5 + 64^5 ==> 2^31 = 2^30 + 2^30 319 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 64^5 + 32^6 ==> 2^31 = 2^30 + 2^30 320 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 64^5 + 8^10 ==> 2^31 = 2^30 + 2^30 321 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 64^5 + 4^15 ==> 2^31 = 2^30 + 2^30 322 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 64^5 + 2^30 ==> 2^31 = 2^30 + 2^30 323 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 32^6 + 32^6 ==> 2^31 = 2^30 + 2^30 324 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 32^6 + 8^10 ==> 2^31 = 2^30 + 2^30 325 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 32^6 + 4^15 ==> 2^31 = 2^30 + 2^30 326 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 32^6 + 2^30 ==> 2^31 = 2^30 + 2^30 327 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 8^10 + 8^10 ==> 2^31 = 2^30 + 2^30 328 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 8^10 + 4^15 ==> 2^31 = 2^30 + 2^30 329 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 8^10 + 2^30 ==> 2^31 = 2^30 + 2^30 330 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 4^15 + 4^15 ==> 2^31 = 2^30 + 2^30 331 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 4^15 + 2^30 ==> 2^31 = 2^30 + 2^30 332 2147483648 = 1073741824 + 1073741824 ==> 2^31 = 2^30 + 2^30 ==> 2^31 = 2^30 + 2^30 333 2217373921 = 10218313 + 2207155608 ==> 217^4 = 217^3 + 1302^3 ==> 7^4*31^4 = 7^3*31^3 + 2^3*3^3*7^3*31^3 334 2300257521 = 389017000 + 1911240521 ==> 219^4 = 730^3 + 1241^3 ==> 3^4*73^4 = 2^3*5^3*73^3 + 17^3*73^3 335 2471326208 = 1655595487 + 815730721 ==> 1352^3 = 1183^3 + 169^4 ==> 2^9*13^6 = 7^3*13^6 + 13^8 336 2471326208 = 1655595487 + 815730721 ==> 1352^3 = 1183^3 + 13^8 ==> 2^9*13^6 = 7^3*13^6 + 13^8 337 2517630976 = 89915392 + 2427715584 ==> 224^4 = 448^3 + 1344^3 ==> 2^20*7^4 = 2^18*7^3 + 2^18*3^3*7^3 338 3317760000 = 40960000 + 3276800000 ==> 240^4 = 80^4 + 80^5 ==> 2^16*3^4*5^4 = 2^16*5^4 + 2^20*5^5 339 3486784401 = 387420489 + 3099363912 ==> 243^4 = 729^3 + 1458^3 ==> 3^20 = 3^18 + 2^3*3^18 340 3486784401 = 387420489 + 3099363912 ==> 81^5 = 729^3 + 1458^3 ==> 3^20 = 3^18 + 2^3*3^18 341 3486784401 = 387420489 + 3099363912 ==> 9^10 = 729^3 + 1458^3 ==> 3^20 = 3^18 + 2^3*3^18 342 3486784401 = 387420489 + 3099363912 ==> 3^20 = 729^3 + 1458^3 ==> 3^20 = 3^18 + 2^3*3^18 343 3486784401 = 3099363912 + 387420489 ==> 243^4 = 1458^3 + 27^6 ==> 3^20 = 2^3*3^18 + 3^18 344 3486784401 = 3099363912 + 387420489 ==> 81^5 = 1458^3 + 27^6 ==> 3^20 = 2^3*3^18 + 3^18 345 3486784401 = 3099363912 + 387420489 ==> 9^10 = 1458^3 + 27^6 ==> 3^20 = 2^3*3^18 + 3^18 346 3486784401 = 3099363912 + 387420489 ==> 3^20 = 1458^3 + 27^6 ==> 3^20 = 2^3*3^18 + 3^18 347 3486784401 = 3099363912 + 387420489 ==> 243^4 = 1458^3 + 9^9 ==> 3^20 = 2^3*3^18 + 3^18 348 3486784401 = 3099363912 + 387420489 ==> 81^5 = 1458^3 + 9^9 ==> 3^20 = 2^3*3^18 + 3^18 349 3486784401 = 3099363912 + 387420489 ==> 9^10 = 1458^3 + 9^9 ==> 3^20 = 2^3*3^18 + 3^18 350 3486784401 = 3099363912 + 387420489 ==> 3^20 = 1458^3 + 9^9 ==> 3^20 = 2^3*3^18 + 3^18 351 3486784401 = 3099363912 + 387420489 ==> 243^4 = 1458^3 + 3^18 ==> 3^20 = 2^3*3^18 + 3^18 352 3486784401 = 3099363912 + 387420489 ==> 81^5 = 1458^3 + 3^18 ==> 3^20 = 2^3*3^18 + 3^18 353 3486784401 = 3099363912 + 387420489 ==> 9^10 = 1458^3 + 3^18 ==> 3^20 = 2^3*3^18 + 3^18 354 3486784401 = 3099363912 + 387420489 ==> 3^20 = 1458^3 + 3^18 ==> 3^20 = 2^3*3^18 + 3^18 355 3553559576 = 1295029000 + 2258530576 ==> 1526^3 = 1090^3 + 218^4 ==> 2^3*7^3*109^3 = 2^3*5^3*109^3 + 2^4*109^4 356 3707398432 = 45212176 + 3662186256 ==> 82^5 = 82^4 + 246^4 ==> 2^5*41^5 = 2^4*41^4 + 2^4*3^4*41^4 357 3906250000 = 1953125000 + 1953125000 ==> 250^4 = 1250^3 + 1250^3 ==> 2^4*5^12 = 2^3*5^12 + 2^3*5^12 358 4294967296 = 2147483648 + 2147483648 ==> 256^4 = 2^31 + 2^31 ==> 2^32 = 2^31 + 2^31 359 4294967296 = 2147483648 + 2147483648 ==> 16^8 = 2^31 + 2^31 ==> 2^32 = 2^31 + 2^31 360 4294967296 = 2147483648 + 2147483648 ==> 4^16 = 2^31 + 2^31 ==> 2^32 = 2^31 + 2^31 361 4294967296 = 2147483648 + 2147483648 ==> 2^32 = 2^31 + 2^31 ==> 2^32 = 2^31 + 2^31 362 5554571841 = 385828352 + 5168743489 ==> 273^4 = 728^3 + 1729^3 ==> 3^4*7^4*13^4 = 2^9*7^3*13^3 + 7^3*13^3*19^3 363 5972816656 = 72511713 + 5900304943 ==> 278^4 = 417^3 + 1807^3 ==> 2^4*139^4 = 3^3*139^3 + 13^3*139^3 364 6146560000 = 1404928000 + 4741632000 ==> 280^4 = 1120^3 + 1680^3 ==> 2^12*5^4*7^4 = 2^15*5^3*7^3 + 2^12*3^3*5^3*7^3 365 7449150177 = 1389928896 + 6059221281 ==> 1953^3 = 1116^3 + 279^4 ==> 3^6*7^3*31^3 = 2^6*3^6*31^3 + 3^8*31^4 366 7449150177 = 5231776256 + 2217373921 ==> 1953^3 = 1736^3 + 217^4 ==> 3^6*7^3*31^3 = 2^9*7^3*31^3 + 7^4*31^4 367 8100000000 = 8000000000 + 100000000 ==> 300^4 = 2000^3 + 100^4 ==> 2^8*3^4*5^8 = 2^12*5^9 + 2^8*5^8 368 8100000000 = 8000000000 + 100000000 ==> 300^4 = 2000^3 + 10^8 ==> 2^8*3^4*5^8 = 2^12*5^9 + 2^8*5^8 369 8340725952 = 308915776 + 8031810176 ==> 2028^3 = 676^3 + 26^7 ==> 2^6*3^3*13^6 = 2^6*13^6 + 2^7*13^7 370 8340725952 = 308915776 + 8031810176 ==> 2028^3 = 26^6 + 26^7 ==> 2^6*3^3*13^6 = 2^6*13^6 + 2^7*13^7 371 8587340257 = 1416468496 + 7170871761 ==> 97^5 = 194^4 + 291^4 ==> 97^5 = 2^4*97^4 + 3^4*97^4 372 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 256^4 + 256^4 ==> 2^33 = 2^32 + 2^32 373 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 256^4 + 256^4 ==> 2^33 = 2^32 + 2^32 374 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 256^4 + 256^4 ==> 2^33 = 2^32 + 2^32 375 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 256^4 + 16^8 ==> 2^33 = 2^32 + 2^32 376 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 256^4 + 16^8 ==> 2^33 = 2^32 + 2^32 377 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 256^4 + 16^8 ==> 2^33 = 2^32 + 2^32 378 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 256^4 + 4^16 ==> 2^33 = 2^32 + 2^32 379 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 256^4 + 4^16 ==> 2^33 = 2^32 + 2^32 380 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 256^4 + 4^16 ==> 2^33 = 2^32 + 2^32 381 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 256^4 + 2^32 ==> 2^33 = 2^32 + 2^32 382 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 256^4 + 2^32 ==> 2^33 = 2^32 + 2^32 383 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 256^4 + 2^32 ==> 2^33 = 2^32 + 2^32 384 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 16^8 + 16^8 ==> 2^33 = 2^32 + 2^32 385 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 16^8 + 16^8 ==> 2^33 = 2^32 + 2^32 386 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 16^8 + 16^8 ==> 2^33 = 2^32 + 2^32 387 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 16^8 + 4^16 ==> 2^33 = 2^32 + 2^32 388 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 16^8 + 4^16 ==> 2^33 = 2^32 + 2^32 389 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 16^8 + 4^16 ==> 2^33 = 2^32 + 2^32 390 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 16^8 + 2^32 ==> 2^33 = 2^32 + 2^32 391 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 16^8 + 2^32 ==> 2^33 = 2^32 + 2^32 392 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 16^8 + 2^32 ==> 2^33 = 2^32 + 2^32 393 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 4^16 + 4^16 ==> 2^33 = 2^32 + 2^32 394 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 4^16 + 4^16 ==> 2^33 = 2^32 + 2^32 395 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 4^16 + 4^16 ==> 2^33 = 2^32 + 2^32 396 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 4^16 + 2^32 ==> 2^33 = 2^32 + 2^32 397 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 4^16 + 2^32 ==> 2^33 = 2^32 + 2^32 398 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 4^16 + 2^32 ==> 2^33 = 2^32 + 2^32 399 8589934592 = 4294967296 + 4294967296 ==> 2048^3 = 2^32 + 2^32 ==> 2^33 = 2^32 + 2^32 400 8589934592 = 4294967296 + 4294967296 ==> 8^11 = 2^32 + 2^32 ==> 2^33 = 2^32 + 2^32 401 8589934592 = 4294967296 + 4294967296 ==> 2^33 = 2^32 + 2^32 ==> 2^33 = 2^32 + 2^32 402 9039207968 = 322828856 + 8716379112 ==> 98^5 = 686^3 + 2058^3 ==> 2^5*7^10 = 2^3*7^9 + 2^3*3^3*7^9 403 9116621361 = 374805361 + 8741816000 ==> 309^4 = 721^3 + 2060^3 ==> 3^4*103^4 = 7^3*103^3 + 2^6*5^3*103^3 404 10823192128 = 851971392 + 9971220736 ==> 2212^3 = 948^3 + 316^4 ==> 2^6*7^3*79^3 = 2^6*3^3*79^3 + 2^8*79^4 405 12895213625 = 300763000 + 12594450625 ==> 2345^3 = 670^3 + 335^4 ==> 5^3*7^3*67^3 = 2^3*5^3*67^3 + 5^4*67^4 406 13278380032 = 5601816576 + 7676563456 ==> 2368^3 = 1776^3 + 296^4 ==> 2^18*37^3 = 2^12*3^3*37^3 + 2^12*37^4 407 13492928512 = 481890304 + 13011038208 ==> 28^7 = 784^3 + 2352^3 ==> 2^14*7^7 = 2^12*7^6 + 2^12*3^3*7^6 408 13492928512 = 13011038208 + 481890304 ==> 28^7 = 2352^3 + 28^6 ==> 2^14*7^7 = 2^12*3^3*7^6 + 2^12*7^6 409 13521270961 = 4956477625 + 8564793336 ==> 341^4 = 1705^3 + 2046^3 ==> 11^4*31^4 = 5^3*11^3*31^3 + 2^3*3^3*11^3*31^3 410 13720578984 = 40001688 + 13680577296 ==> 2394^3 = 342^3 + 342^4 ==> 2^3*3^6*7^3*19^3 = 2^3*3^6*19^3 + 2^4*3^8*19^4 411 14003408896 = 40707584 + 13962701312 ==> 344^4 = 344^3 + 2408^3 ==> 2^12*43^4 = 2^9*43^3 + 2^9*7^3*43^3 412 14693280768 = 7346640384 + 7346640384 ==> 108^5 = 1944^3 + 1944^3 ==> 2^10*3^15 = 2^9*3^15 + 2^9*3^15 413 15069223000 = 9514651159 + 5554571841 ==> 2470^3 = 2119^3 + 273^4 ==> 2^3*5^3*13^3*19^3 = 13^3*163^3 + 3^4*7^4*13^4 414 15178486401 = 345948408 + 14832537993 ==> 351^4 = 702^3 + 2457^3 ==> 3^12*13^4 = 2^3*3^9*13^3 + 3^9*7^3*13^3 415 17179869184 = 8589934592 + 8589934592 ==> 4^17 = 2048^3 + 2048^3 ==> 2^34 = 2^33 + 2^33 416 17179869184 = 8589934592 + 8589934592 ==> 2^34 = 2048^3 + 2048^3 ==> 2^34 = 2^33 + 2^33 417 17179869184 = 8589934592 + 8589934592 ==> 4^17 = 2048^3 + 8^11 ==> 2^34 = 2^33 + 2^33 418 17179869184 = 8589934592 + 8589934592 ==> 2^34 = 2048^3 + 8^11 ==> 2^34 = 2^33 + 2^33 419 17179869184 = 8589934592 + 8589934592 ==> 4^17 = 2048^3 + 2^33 ==> 2^34 = 2^33 + 2^33 420 17179869184 = 8589934592 + 8589934592 ==> 2^34 = 2048^3 + 2^33 ==> 2^34 = 2^33 + 2^33 421 17179869184 = 8589934592 + 8589934592 ==> 4^17 = 8^11 + 8^11 ==> 2^34 = 2^33 + 2^33 422 17179869184 = 8589934592 + 8589934592 ==> 2^34 = 8^11 + 8^11 ==> 2^34 = 2^33 + 2^33 423 17179869184 = 8589934592 + 8589934592 ==> 4^17 = 8^11 + 2^33 ==> 2^34 = 2^33 + 2^33 424 17179869184 = 8589934592 + 8589934592 ==> 2^34 = 8^11 + 2^33 ==> 2^34 = 2^33 + 2^33 425 17179869184 = 8589934592 + 8589934592 ==> 4^17 = 2^33 + 2^33 ==> 2^34 = 2^33 + 2^33 426 17179869184 = 8589934592 + 8589934592 ==> 2^34 = 2^33 + 2^33 ==> 2^34 = 2^33 + 2^33 427 18741610000 = 1367631000 + 17373979000 ==> 370^4 = 1110^3 + 2590^3 ==> 2^4*5^4*37^4 = 2^3*3^3*5^3*37^3 + 2^3*5^3*7^3*37^3 428 19205769752 = 18108570376 + 1097199376 ==> 2678^3 = 2626^3 + 182^4 ==> 2^3*13^3*103^3 = 2^3*13^3*101^3 + 2^4*7^4*13^4 429 19902511000 = 14508930519 + 5393580481 ==> 2710^3 = 2439^3 + 271^4 ==> 2^3*5^3*271^3 = 3^6*271^3 + 271^4 430 25344958401 = 294079625 + 25050878776 ==> 399^4 = 665^3 + 2926^3 ==> 3^4*7^4*19^4 = 5^3*7^3*19^3 + 2^3*7^3*11^3*19^3 431 27439591201 = 4314825152 + 23124766049 ==> 407^4 = 1628^3 + 2849^3 ==> 11^4*37^4 = 2^6*11^3*37^3 + 7^3*11^3*37^3 432 29675828736 = 7245075375 + 22430753361 ==> 3096^3 = 1935^3 + 387^4 ==> 2^9*3^6*43^3 = 3^6*5^3*43^3 + 3^8*43^4 433 31713911056 = 9393931 + 31704517125 ==> 422^4 = 211^3 + 3165^3 ==> 2^4*211^4 = 211^3 + 3^3*5^3*211^3 434 34359738368 = 17179869184 + 17179869184 ==> 128^5 = 4^17 + 4^17 ==> 2^35 = 2^34 + 2^34 435 34359738368 = 17179869184 + 17179869184 ==> 32^7 = 4^17 + 4^17 ==> 2^35 = 2^34 + 2^34 436 34359738368 = 17179869184 + 17179869184 ==> 2^35 = 4^17 + 4^17 ==> 2^35 = 2^34 + 2^34 437 34359738368 = 17179869184 + 17179869184 ==> 128^5 = 4^17 + 2^34 ==> 2^35 = 2^34 + 2^34 438 34359738368 = 17179869184 + 17179869184 ==> 32^7 = 4^17 + 2^34 ==> 2^35 = 2^34 + 2^34 439 34359738368 = 17179869184 + 17179869184 ==> 2^35 = 4^17 + 2^34 ==> 2^35 = 2^34 + 2^34 440 34359738368 = 17179869184 + 17179869184 ==> 128^5 = 2^34 + 2^34 ==> 2^35 = 2^34 + 2^34 441 34359738368 = 17179869184 + 17179869184 ==> 32^7 = 2^34 + 2^34 ==> 2^35 = 2^34 + 2^34 442 34359738368 = 17179869184 + 17179869184 ==> 2^35 = 2^34 + 2^34 ==> 2^35 = 2^34 + 2^34 443 34828517376 = 17414258688 + 17414258688 ==> 432^4 = 2592^3 + 2592^3 ==> 2^16*3^12 = 2^15*3^12 + 2^15*3^12 444 36859543552 = 24693014528 + 12166529024 ==> 3328^3 = 2912^3 + 104^5 ==> 2^24*13^3 = 2^15*7^3*13^3 + 2^15*13^5 445 41006250000 = 38443359375 + 2562890625 ==> 450^4 = 3375^3 + 225^4 ==> 2^4*3^8*5^8 = 3^9*5^9 + 3^8*5^8 446 41006250000 = 38443359375 + 2562890625 ==> 450^4 = 3375^3 + 15^8 ==> 2^4*3^8*5^8 = 3^9*5^9 + 3^8*5^8 447 41006250000 = 2562890625 + 38443359375 ==> 450^4 = 225^4 + 15^9 ==> 2^4*3^8*5^8 = 3^8*5^8 + 3^9*5^9 448 41006250000 = 2562890625 + 38443359375 ==> 450^4 = 15^8 + 15^9 ==> 2^4*3^8*5^8 = 3^8*5^8 + 3^9*5^9 449 41926580424 = 19726772408 + 22199808016 ==> 3474^3 = 2702^3 + 386^4 ==> 2^3*3^6*193^3 = 2^3*7^3*193^3 + 2^4*193^4 450 42110733681 = 220348864 + 41890384817 ==> 453^4 = 604^3 + 3473^3 ==> 3^4*151^4 = 2^6*151^3 + 23^3*151^3 451 46036680704 = 5754585088 + 40282095616 ==> 3584^3 = 1792^3 + 448^4 ==> 2^27*7^3 = 2^24*7^3 + 2^24*7^4 452 47971512576 = 12812904000 + 35158608576 ==> 468^4 = 2340^3 + 3276^3 ==> 2^8*3^8*13^4 = 2^6*3^6*5^3*13^3 + 2^6*3^6*7^3*13^3 453 48268303721 = 36264691000 + 12003612721 ==> 3641^3 = 3310^3 + 331^4 ==> 11^3*331^3 = 2^3*5^3*331^3 + 331^4 454 58411072000 = 3080271375 + 55330800625 ==> 3880^3 = 1455^3 + 485^4 ==> 2^9*5^3*97^3 = 3^3*5^3*97^3 + 5^4*97^4 455 61013446081 = 1466003456 + 59547442625 ==> 497^4 = 1136^3 + 3905^3 ==> 7^4*71^4 = 2^12*71^3 + 5^3*11^3*71^3 456 64339296875 = 14706125000 + 49633171875 ==> 35^7 = 2450^3 + 3675^3 ==> 5^7*7^7 = 2^3*5^6*7^6 + 3^3*5^6*7^6 457 65548320768 = 1024192512 + 64524128256 ==> 4032^3 = 1008^3 + 504^4 ==> 2^18*3^6*7^3 = 2^12*3^6*7^3 + 2^12*3^8*7^4 458 68317609472 = 133432831 + 68184176641 ==> 4088^3 = 511^3 + 511^4 ==> 2^9*7^3*73^3 = 7^3*73^3 + 7^4*73^4 459 68719476736 = 34359738368 + 34359738368 ==> 4096^3 = 128^5 + 128^5 ==> 2^36 = 2^35 + 2^35 460 68719476736 = 34359738368 + 34359738368 ==> 512^4 = 128^5 + 128^5 ==> 2^36 = 2^35 + 2^35 461 68719476736 = 34359738368 + 34359738368 ==> 64^6 = 128^5 + 128^5 ==> 2^36 = 2^35 + 2^35 462 68719476736 = 34359738368 + 34359738368 ==> 16^9 = 128^5 + 128^5 ==> 2^36 = 2^35 + 2^35 463 68719476736 = 34359738368 + 34359738368 ==> 8^12 = 128^5 + 128^5 ==> 2^36 = 2^35 + 2^35 464 68719476736 = 34359738368 + 34359738368 ==> 4^18 = 128^5 + 128^5 ==> 2^36 = 2^35 + 2^35 465 68719476736 = 34359738368 + 34359738368 ==> 2^36 = 128^5 + 128^5 ==> 2^36 = 2^35 + 2^35 466 68719476736 = 34359738368 + 34359738368 ==> 4096^3 = 128^5 + 32^7 ==> 2^36 = 2^35 + 2^35 467 68719476736 = 34359738368 + 34359738368 ==> 512^4 = 128^5 + 32^7 ==> 2^36 = 2^35 + 2^35 468 68719476736 = 34359738368 + 34359738368 ==> 64^6 = 128^5 + 32^7 ==> 2^36 = 2^35 + 2^35 469 68719476736 = 34359738368 + 34359738368 ==> 16^9 = 128^5 + 32^7 ==> 2^36 = 2^35 + 2^35 470 68719476736 = 34359738368 + 34359738368 ==> 8^12 = 128^5 + 32^7 ==> 2^36 = 2^35 + 2^35 471 68719476736 = 34359738368 + 34359738368 ==> 4^18 = 128^5 + 32^7 ==> 2^36 = 2^35 + 2^35 472 68719476736 = 34359738368 + 34359738368 ==> 2^36 = 128^5 + 32^7 ==> 2^36 = 2^35 + 2^35 473 68719476736 = 34359738368 + 34359738368 ==> 4096^3 = 128^5 + 2^35 ==> 2^36 = 2^35 + 2^35 474 68719476736 = 34359738368 + 34359738368 ==> 512^4 = 128^5 + 2^35 ==> 2^36 = 2^35 + 2^35 475 68719476736 = 34359738368 + 34359738368 ==> 64^6 = 128^5 + 2^35 ==> 2^36 = 2^35 + 2^35 476 68719476736 = 34359738368 + 34359738368 ==> 16^9 = 128^5 + 2^35 ==> 2^36 = 2^35 + 2^35 477 68719476736 = 34359738368 + 34359738368 ==> 8^12 = 128^5 + 2^35 ==> 2^36 = 2^35 + 2^35 478 68719476736 = 34359738368 + 34359738368 ==> 4^18 = 128^5 + 2^35 ==> 2^36 = 2^35 + 2^35 479 68719476736 = 34359738368 + 34359738368 ==> 2^36 = 128^5 + 2^35 ==> 2^36 = 2^35 + 2^35 480 68719476736 = 34359738368 + 34359738368 ==> 4096^3 = 32^7 + 32^7 ==> 2^36 = 2^35 + 2^35 481 68719476736 = 34359738368 + 34359738368 ==> 512^4 = 32^7 + 32^7 ==> 2^36 = 2^35 + 2^35 482 68719476736 = 34359738368 + 34359738368 ==> 64^6 = 32^7 + 32^7 ==> 2^36 = 2^35 + 2^35 483 68719476736 = 34359738368 + 34359738368 ==> 16^9 = 32^7 + 32^7 ==> 2^36 = 2^35 + 2^35 484 68719476736 = 34359738368 + 34359738368 ==> 8^12 = 32^7 + 32^7 ==> 2^36 = 2^35 + 2^35 485 68719476736 = 34359738368 + 34359738368 ==> 4^18 = 32^7 + 32^7 ==> 2^36 = 2^35 + 2^35 486 68719476736 = 34359738368 + 34359738368 ==> 2^36 = 32^7 + 32^7 ==> 2^36 = 2^35 + 2^35 487 68719476736 = 34359738368 + 34359738368 ==> 4096^3 = 32^7 + 2^35 ==> 2^36 = 2^35 + 2^35 488 68719476736 = 34359738368 + 34359738368 ==> 512^4 = 32^7 + 2^35 ==> 2^36 = 2^35 + 2^35 489 68719476736 = 34359738368 + 34359738368 ==> 64^6 = 32^7 + 2^35 ==> 2^36 = 2^35 + 2^35 490 68719476736 = 34359738368 + 34359738368 ==> 16^9 = 32^7 + 2^35 ==> 2^36 = 2^35 + 2^35 491 68719476736 = 34359738368 + 34359738368 ==> 8^12 = 32^7 + 2^35 ==> 2^36 = 2^35 + 2^35 492 68719476736 = 34359738368 + 34359738368 ==> 4^18 = 32^7 + 2^35 ==> 2^36 = 2^35 + 2^35 493 68719476736 = 34359738368 + 34359738368 ==> 2^36 = 32^7 + 2^35 ==> 2^36 = 2^35 + 2^35 494 68719476736 = 34359738368 + 34359738368 ==> 4096^3 = 2^35 + 2^35 ==> 2^36 = 2^35 + 2^35 495 68719476736 = 34359738368 + 34359738368 ==> 512^4 = 2^35 + 2^35 ==> 2^36 = 2^35 + 2^35 496 68719476736 = 34359738368 + 34359738368 ==> 64^6 = 2^35 + 2^35 ==> 2^36 = 2^35 + 2^35 497 68719476736 = 34359738368 + 34359738368 ==> 16^9 = 2^35 + 2^35 ==> 2^36 = 2^35 + 2^35 498 68719476736 = 34359738368 + 34359738368 ==> 8^12 = 2^35 + 2^35 ==> 2^36 = 2^35 + 2^35 499 68719476736 = 34359738368 + 34359738368 ==> 4^18 = 2^35 + 2^35 ==> 2^36 = 2^35 + 2^35 500 68719476736 = 34359738368 + 34359738368 ==> 2^36 = 2^35 + 2^35 ==> 2^36 = 2^35 + 2^35 501 69257922561 = 135005697 + 69122916864 ==> 513^4 = 513^3 + 4104^3 ==> 3^12*19^4 = 3^9*19^3 + 2^9*3^9*19^3 502 69731032896 = 1089547389 + 68641485507 ==> 4116^3 = 1029^3 + 147^5 ==> 2^6*3^3*7^9 = 3^3*7^9 + 3^5*7^10 503 73116160000 = 1124864000 + 71991296000 ==> 520^4 = 1040^3 + 4160^3 ==> 2^12*5^4*13^4 = 2^12*5^3*13^3 + 2^18*5^3*13^3 504 75969140625 = 31640625 + 75937500000 ==> 525^4 = 75^4 + 150^5 ==> 3^4*5^8*7^4 = 3^4*5^8 + 2^5*3^5*5^10 505 84402451441 = 4227952113 + 80174499328 ==> 539^4 = 1617^3 + 4312^3 ==> 7^8*11^4 = 3^3*7^6*11^3 + 2^9*7^6*11^3 506 94143178827 = 10460353203 + 83682825624 ==> 3^23 = 2187^3 + 4374^3 ==> 3^23 = 3^21 + 2^3*3^21 507 94143178827 = 83682825624 + 10460353203 ==> 3^23 = 4374^3 + 27^7 ==> 3^23 = 2^3*3^21 + 3^21 508 94143178827 = 83682825624 + 10460353203 ==> 3^23 = 4374^3 + 3^21 ==> 3^23 = 2^3*3^21 + 3^21 509 97644375361 = 37730205864 + 59914169497 ==> 559^4 = 3354^3 + 3913^3 ==> 13^4*43^4 = 2^3*3^3*13^3*43^3 + 7^3*13^3*43^3 510 98419153113 = 29161230552 + 69257922561 ==> 4617^3 = 3078^3 + 513^4 ==> 3^15*19^3 = 2^3*3^12*19^3 + 3^12*19^4 511 108122295744 = 83281698863 + 24840596881 ==> 4764^3 = 4367^3 + 397^4 ==> 2^6*3^3*397^3 = 11^3*397^3 + 397^4 512 110075314176 = 12230590464 + 97844723712 ==> 576^4 = 2304^3 + 4608^3 ==> 2^24*3^8 = 2^24*3^6 + 2^27*3^6 513 110075314176 = 12230590464 + 97844723712 ==> 24^8 = 2304^3 + 4608^3 ==> 2^24*3^8 = 2^24*3^6 + 2^27*3^6 514 110075314176 = 97844723712 + 12230590464 ==> 576^4 = 4608^3 + 48^6 ==> 2^24*3^8 = 2^27*3^6 + 2^24*3^6 515 110075314176 = 97844723712 + 12230590464 ==> 24^8 = 4608^3 + 48^6 ==> 2^24*3^8 = 2^27*3^6 + 2^24*3^6 516 110730297608 = 13841287201 + 96889010407 ==> 4802^3 = 2401^3 + 7^13 ==> 2^3*7^12 = 7^12 + 7^13 517 110730297608 = 13841287201 + 96889010407 ==> 4802^3 = 343^4 + 7^13 ==> 2^3*7^12 = 7^12 + 7^13 518 110730297608 = 13841287201 + 96889010407 ==> 4802^3 = 49^6 + 7^13 ==> 2^3*7^12 = 7^12 + 7^13 519 110730297608 = 13841287201 + 96889010407 ==> 4802^3 = 7^12 + 7^13 ==> 2^3*7^12 = 7^12 + 7^13 520 111577100832 = 55788550416 + 55788550416 ==> 162^5 = 486^4 + 486^4 ==> 2^5*3^20 = 2^4*3^20 + 2^4*3^20 521 112386528081 = 57512456 + 112329015625 ==> 579^4 = 386^3 + 4825^3 ==> 3^4*193^4 = 2^3*193^3 + 5^6*193^3 522 116214272000 = 59501707264 + 56712564736 ==> 4880^3 = 3904^3 + 488^4 ==> 2^12*5^3*61^3 = 2^18*61^3 + 2^12*61^4 523 118587876497 = 6975757441 + 111612119056 ==> 4913^3 = 289^4 + 578^4 ==> 17^9 = 17^8 + 2^4*17^8 524 118587876497 = 6975757441 + 111612119056 ==> 17^9 = 289^4 + 578^4 ==> 17^9 = 17^8 + 2^4*17^8 525 118587876497 = 111612119056 + 6975757441 ==> 4913^3 = 578^4 + 17^8 ==> 17^9 = 2^4*17^8 + 17^8 526 118587876497 = 111612119056 + 6975757441 ==> 17^9 = 578^4 + 17^8 ==> 17^9 = 2^4*17^8 + 17^8 527 125000000000 = 62500000000 + 62500000000 ==> 5000^3 = 500^4 + 500^4 ==> 2^9*5^12 = 2^8*5^12 + 2^8*5^12 528 133827821568 = 50488897536 + 83338924032 ==> 168^5 = 3696^3 + 4368^3 ==> 2^15*3^5*7^5 = 2^12*3^3*7^3*11^3 + 2^12*3^3*7^3*13^3 529 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4096^3 + 4096^3 ==> 2^37 = 2^36 + 2^36 530 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4096^3 + 512^4 ==> 2^37 = 2^36 + 2^36 531 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4096^3 + 64^6 ==> 2^37 = 2^36 + 2^36 532 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4096^3 + 16^9 ==> 2^37 = 2^36 + 2^36 533 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4096^3 + 8^12 ==> 2^37 = 2^36 + 2^36 534 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4096^3 + 4^18 ==> 2^37 = 2^36 + 2^36 535 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4096^3 + 2^36 ==> 2^37 = 2^36 + 2^36 536 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 512^4 + 512^4 ==> 2^37 = 2^36 + 2^36 537 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 512^4 + 64^6 ==> 2^37 = 2^36 + 2^36 538 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 512^4 + 16^9 ==> 2^37 = 2^36 + 2^36 539 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 512^4 + 8^12 ==> 2^37 = 2^36 + 2^36 540 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 512^4 + 4^18 ==> 2^37 = 2^36 + 2^36 541 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 512^4 + 2^36 ==> 2^37 = 2^36 + 2^36 542 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 64^6 + 64^6 ==> 2^37 = 2^36 + 2^36 543 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 64^6 + 16^9 ==> 2^37 = 2^36 + 2^36 544 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 64^6 + 8^12 ==> 2^37 = 2^36 + 2^36 545 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 64^6 + 4^18 ==> 2^37 = 2^36 + 2^36 546 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 64^6 + 2^36 ==> 2^37 = 2^36 + 2^36 547 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 16^9 + 16^9 ==> 2^37 = 2^36 + 2^36 548 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 16^9 + 8^12 ==> 2^37 = 2^36 + 2^36 549 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 16^9 + 4^18 ==> 2^37 = 2^36 + 2^36 550 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 16^9 + 2^36 ==> 2^37 = 2^36 + 2^36 551 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 8^12 + 8^12 ==> 2^37 = 2^36 + 2^36 552 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 8^12 + 4^18 ==> 2^37 = 2^36 + 2^36 553 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 8^12 + 2^36 ==> 2^37 = 2^36 + 2^36 554 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4^18 + 4^18 ==> 2^37 = 2^36 + 2^36 555 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 4^18 + 2^36 ==> 2^37 = 2^36 + 2^36 556 137438953472 = 68719476736 + 68719476736 ==> 2^37 = 2^36 + 2^36 ==> 2^37 = 2^36 + 2^36 557 142154918459 = 28934443 + 142125984016 ==> 5219^3 = 307^3 + 614^4 ==> 17^3*307^3 = 307^3 + 2^4*307^4 558 157529610000 = 157464000000 + 65610000 ==> 630^4 = 5400^3 + 90^4 ==> 2^4*3^8*5^4*7^4 = 2^9*3^9*5^6 + 2^4*3^8*5^4 559 160634321856 = 27543608000 + 133090713856 ==> 5436^3 = 3020^3 + 604^4 ==> 2^6*3^6*151^3 = 2^6*5^3*151^3 + 2^8*151^4 560 164206490176 = 69274613043 + 94931877133 ==> 5476^3 = 4107^3 + 37^7 ==> 2^6*37^6 = 3^3*37^6 + 37^7 561 164206490176 = 69274613043 + 94931877133 ==> 74^6 = 4107^3 + 37^7 ==> 2^6*37^6 = 3^3*37^6 + 37^7 562 164648481361 = 32309356625 + 132339124736 ==> 637^4 = 3185^3 + 5096^3 ==> 7^8*13^4 = 5^3*7^6*13^3 + 2^9*7^6*13^3 563 179607287601 = 10218313 + 179597069288 ==> 651^4 = 217^3 + 5642^3 ==> 3^4*7^4*31^4 = 7^3*31^3 + 2^3*7^3*13^3*31^3 564 187457825296 = 49269412296 + 138188413000 ==> 658^4 = 3666^3 + 5170^3 ==> 2^4*7^4*47^4 = 2^3*3^3*13^3*47^3 + 2^3*5^3*11^3*47^3 565 214384046625 = 18821096000 + 195562950625 ==> 5985^3 = 2660^3 + 665^4 ==> 3^6*5^3*7^3*19^3 = 2^6*5^3*7^3*19^3 + 5^4*7^4*19^4 566 221460595216 = 110730297608 + 110730297608 ==> 686^4 = 4802^3 + 4802^3 ==> 2^4*7^12 = 2^3*7^12 + 2^3*7^12 567 226646274673 = 178263433152 + 48382841521 ==> 6097^3 = 5628^3 + 469^4 ==> 7^3*13^3*67^3 = 2^6*3^3*7^3*67^3 + 7^4*67^4 568 240100000000 = 75969140625 + 164130859375 ==> 700^4 = 525^4 + 175^5 ==> 2^8*5^8*7^4 = 3^4*5^8*7^4 + 5^10*7^5 569 242620354053 = 1458274104 + 241162079949 ==> 6237^3 = 1134^3 + 189^5 ==> 3^12*7^3*11^3 = 2^3*3^12*7^3 + 3^15*7^5 570 252196389432 = 9340607016 + 242855782416 ==> 6318^3 = 2106^3 + 702^4 ==> 2^3*3^15*13^3 = 2^3*3^12*13^3 + 2^4*3^12*13^4 571 260919263232 = 28991029248 + 231928233984 ==> 192^5 = 3072^3 + 6144^3 ==> 2^30*3^5 = 2^30*3^3 + 2^33*3^3 572 273233108169 = 2998442888 + 270234665281 ==> 6489^3 = 1442^3 + 721^4 ==> 3^6*7^3*103^3 = 2^3*7^3*103^3 + 7^4*103^4 573 274877906944 = 137438953472 + 137438953472 ==> 4^19 = 2^37 + 2^37 ==> 2^38 = 2^37 + 2^37 574 274877906944 = 137438953472 + 137438953472 ==> 2^38 = 2^37 + 2^37 ==> 2^38 = 2^37 + 2^37 575 280883040256 = 83338924032 + 197544116224 ==> 728^4 = 4368^3 + 5824^3 ==> 2^12*7^4*13^4 = 2^12*3^3*7^3*13^3 + 2^18*7^3*13^3 576 281268868608 = 385828352 + 280883040256 ==> 6552^3 = 728^3 + 728^4 ==> 2^9*3^6*7^3*13^3 = 2^9*7^3*13^3 + 2^12*7^4*13^4 577 283593393000 = 97272533799 + 186320859201 ==> 6570^3 = 4599^3 + 657^4 ==> 2^3*3^6*5^3*73^3 = 3^6*7^3*73^3 + 3^8*73^4 578 283982410000 = 389017000 + 283593393000 ==> 730^4 = 730^3 + 6570^3 ==> 2^4*5^4*73^4 = 2^3*5^3*73^3 + 2^3*3^6*5^3*73^3 579 290380553848 = 159043894632 + 131336659216 ==> 6622^3 = 5418^3 + 602^4 ==> 2^3*7^3*11^3*43^3 = 2^3*3^6*7^3*43^3 + 2^4*7^4*43^4 580 295032562561 = 3202524424 + 291830038137 ==> 737^4 = 1474^3 + 6633^3 ==> 11^4*67^4 = 2^3*11^3*67^3 + 3^6*11^3*67^3 581 326653399296 = 11666192832 + 314987206464 ==> 756^4 = 2268^3 + 6804^3 ==> 2^8*3^12*7^4 = 2^6*3^12*7^3 + 2^6*3^15*7^3 582 395451064801 = 31915344448 + 363535720353 ==> 793^4 = 3172^3 + 7137^3 ==> 13^4*61^4 = 2^6*13^3*61^3 + 3^6*13^3*61^3 583 436899921472 = 19902511 + 436880018961 ==> 7588^3 = 271^3 + 813^4 ==> 2^6*7^3*271^3 = 271^3 + 3^4*271^4 584 449103134312 = 359577108631 + 89526025681 ==> 7658^3 = 7111^3 + 547^4 ==> 2^3*7^3*547^3 = 13^3*547^3 + 547^4 585 481890304000 = 104088305664 + 377801998336 ==> 7840^3 = 4704^3 + 784^4 ==> 2^15*5^3*7^6 = 2^15*3^3*7^6 + 2^16*7^8 586 481890304000 = 104088305664 + 377801998336 ==> 7840^3 = 4704^3 + 28^8 ==> 2^15*5^3*7^6 = 2^15*3^3*7^6 + 2^16*7^8 587 531901827856 = 77854483000 + 454047344856 ==> 854^4 = 4270^3 + 7686^3 ==> 2^4*7^4*61^4 = 2^3*5^3*7^3*61^3 + 2^3*3^6*7^3*61^3 588 534003898897 = 2102071041 + 531901827856 ==> 8113^3 = 1281^3 + 854^4 ==> 7^3*19^3*61^3 = 3^3*7^3*61^3 + 2^4*7^4*61^4 589 534397550625 = 214384046625 + 320013504000 ==> 855^4 = 5985^3 + 6840^3 ==> 3^8*5^4*19^4 = 3^6*5^3*7^3*19^3 + 2^9*3^6*5^3*19^3 590 549755813888 = 274877906944 + 274877906944 ==> 8192^3 = 4^19 + 4^19 ==> 2^39 = 2^38 + 2^38 591 549755813888 = 274877906944 + 274877906944 ==> 8^13 = 4^19 + 4^19 ==> 2^39 = 2^38 + 2^38 592 549755813888 = 274877906944 + 274877906944 ==> 2^39 = 4^19 + 4^19 ==> 2^39 = 2^38 + 2^38 593 549755813888 = 274877906944 + 274877906944 ==> 8192^3 = 4^19 + 2^38 ==> 2^39 = 2^38 + 2^38 594 549755813888 = 274877906944 + 274877906944 ==> 8^13 = 4^19 + 2^38 ==> 2^39 = 2^38 + 2^38 595 549755813888 = 274877906944 + 274877906944 ==> 2^39 = 4^19 + 2^38 ==> 2^39 = 2^38 + 2^38 596 549755813888 = 274877906944 + 274877906944 ==> 8192^3 = 2^38 + 2^38 ==> 2^39 = 2^38 + 2^38 597 549755813888 = 274877906944 + 274877906944 ==> 8^13 = 2^38 + 2^38 ==> 2^39 = 2^38 + 2^38 598 549755813888 = 274877906944 + 274877906944 ==> 2^39 = 2^38 + 2^38 ==> 2^39 = 2^38 + 2^38 599 616132666368 = 15775480512 + 600357185856 ==> 228^5 = 2508^3 + 8436^3 ==> 2^10*3^5*19^5 = 2^6*3^3*11^3*19^3 + 2^6*3^3*19^3*37^3 600 665110004489 = 218167208 + 664891837281 ==> 8729^3 = 602^3 + 903^4 ==> 7^3*29^3*43^3 = 2^3*7^3*43^3 + 3^4*7^4*43^4 601 666711392256 = 385828352000 + 280883040256 ==> 8736^3 = 7280^3 + 728^4 ==> 2^15*3^3*7^3*13^3 = 2^12*5^3*7^3*13^3 + 2^12*7^4*13^4 602 669921875000 = 83740234375 + 586181640625 ==> 8750^3 = 4375^3 + 875^4 ==> 2^3*5^12*7^3 = 5^12*7^3 + 5^12*7^4 603 719323136000 = 155373797376 + 563949338624 ==> 8960^3 = 5376^3 + 224^5 ==> 2^24*5^3*7^3 = 2^24*3^3*7^3 + 2^25*7^5 604 731189187729 = 281268868608 + 449920319121 ==> 9009^3 = 6552^3 + 819^4 ==> 3^6*7^3*11^3*13^3 = 2^9*3^6*7^3*13^3 + 3^8*7^4*13^4 605 797493650625 = 182284263000 + 615209387625 ==> 945^4 = 5670^3 + 8505^3 ==> 3^12*5^4*7^4 = 2^3*3^12*5^3*7^3 + 3^15*5^3*7^3 606 820025856000 = 52481654784 + 767544201216 ==> 9360^3 = 3744^3 + 936^4 ==> 2^12*3^6*5^3*13^3 = 2^15*3^6*13^3 + 2^12*3^8*13^4 607 847933619625 = 689401437704 + 158532181921 ==> 9465^3 = 8834^3 + 631^4 ==> 3^3*5^3*631^3 = 2^3*7^3*631^3 + 631^4 608 849346560000 = 53084160000 + 796262400000 ==> 960^4 = 480^4 + 240^5 ==> 2^24*3^4*5^4 = 2^20*3^4*5^4 + 2^20*3^5*5^5 609 921167317000 = 24871517559 + 896295799441 ==> 9730^3 = 2919^3 + 973^4 ==> 2^3*5^3*7^3*139^3 = 3^3*7^3*139^3 + 7^4*139^4 610 922368160000 = 630525109375 + 291843050625 ==> 980^4 = 8575^3 + 735^4 ==> 2^8*5^4*7^8 = 5^6*7^9 + 3^4*5^4*7^8 611 976191488000 = 7809531904 + 968381956096 ==> 9920^3 = 1984^3 + 992^4 ==> 2^18*5^3*31^3 = 2^18*31^3 + 2^20*31^4 612 976562500000 = 823974609375 + 152587890625 ==> 250^5 = 9375^3 + 625^4 ==> 2^5*5^15 = 3^3*5^15 + 5^16 613 976562500000 = 823974609375 + 152587890625 ==> 250^5 = 9375^3 + 25^8 ==> 2^5*5^15 = 3^3*5^15 + 5^16 614 976562500000 = 823974609375 + 152587890625 ==> 250^5 = 9375^3 + 5^16 ==> 2^5*5^15 = 3^3*5^15 + 5^16 615 997002999000 = 997002999 + 996005996001 ==> 9990^3 = 999^3 + 999^4 ==> 2^3*3^9*5^3*37^3 = 3^9*37^3 + 3^12*37^4